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arXiv · 0812.3443

SK1 of Azumaya algebras over hensel pairs

R. Hazrat
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Abstract

Let A be an Azumaya algebra of constant rank n^2 over a Hensel pair (R,I) where R is a semilocal ring with n invertible in R. Then the reduced Whitehead group SK(A) coincides with its reduction SK(A/IA).

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R. Hazrat. 2008-12-18. SK1 of Azumaya algebras over hensel pairs. https://arxiv.org/abs/0812.3443

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